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Finding the Fourth Proportional to 466,409.78, 643,733.62 and 292,060.94

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Solution

The fourth proportional to 466,409.78, 643,733.62 and 292,060.94 is: 403,099.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,409.78 : 643,733.62 = 292,060.94 : x
  2. Step 2: Convert to fraction form
    466,409.78/643,733.62 = 292,060.94/x
  3. Step 3: Cross multiply
    466,409.78x = 643,733.62 × 292,060.94
  4. Step 4: Simplify right side
    466,409.78x = 188,009,446,166.80
  5. Step 5: Solve for x
    x = 188,009,446,166.80/466,409.78
  6. Step 6: Final answer
    x = 403,099.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.